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Some people say this is "how the Japanese multiply." Others say this is "Vedic Math." I'm not sure of the origin, but this is a visual way to multiply two numbers and it does work. The video also shows how to use the same method to multiply algebraic expressions like (x + 2)(x + 3).

Here's a blog post I wrote on this: http://mindyourdecisions.com/blog/2012/01/27/multiplicating-with-lines-math-trick-how-it-works/

Many people asked me to write a reference guide. So I wrote a book "Multiply Numbers By Drawing Lines." https://www.amazon.com/gp/product/1500866148/

I've made a few follow-up videos you might like.

Multiply by lines (advanced examples)
https://www.youtube.com/watch?v=DUop79ZKxmc

Multiply by lines (why it works)
https://www.youtube.com/watch?v=bL5eUQIMaek

Multiply by lines (the rotation trick)
https://www.youtube.com/watch?v=scCfeJhJ2TA

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